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Finding the Fourth Proportional to 876.73, 1,315.70 and 329.35

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Solution

The fourth proportional to 876.73, 1,315.70 and 329.35 is: 494.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.73 : 1,315.70 = 329.35 : x
  2. Step 2: Convert to fraction form
    876.73/1,315.70 = 329.35/x
  3. Step 3: Cross multiply
    876.73x = 1,315.70 × 329.35
  4. Step 4: Simplify right side
    876.73x = 433,325.80
  5. Step 5: Solve for x
    x = 433,325.80/876.73
  6. Step 6: Final answer
    x = 494.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.